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Finding the Fourth Proportional to 7,613.40, 10,511.10 and 7,142.79

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Solution

The fourth proportional to 7,613.40, 10,511.10 and 7,142.79 is: 9,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.40 : 10,511.10 = 7,142.79 : x
  2. Step 2: Convert to fraction form
    7,613.40/10,511.10 = 7,142.79/x
  3. Step 3: Cross multiply
    7,613.40x = 10,511.10 × 7,142.79
  4. Step 4: Simplify right side
    7,613.40x = 75,078,579.97
  5. Step 5: Solve for x
    x = 75,078,579.97/7,613.40
  6. Step 6: Final answer
    x = 9,861.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.